Academics
Areas of Study

Overview

Overview

Students must complete or demonstrate the following before declaring a major in Mathematics:

  1. A letter of interest sent to the Mathematics Program Director.
  2. One of the following:
    1. A grade of A in MAT 130, Precalculus, or
    2. A grade of B or higher in MAT 150, Calculus I, or
    3. A grade of C or higher in MAT 205, Calculus II.
  3. A cumulative grade point average of 2.5 or higher.
  4. A letter of recommendation from one of the student’s mathematics instructors. This letter is to focus on the student’s creativity and potential for thriving as a mathematics major.

The Bachelor of Science degree in Mathematics will prepare students for graduate school. The Bachelor of Science degree is geared toward a more science-intensive curriculum than the Bachelor of Arts degree in Mathematics.

Courses & Requirements

Summary of Requirements

2022-2023
Core Curriculum 43
Pre-Major Courses 17-20
Major and Related Courses 41-44
Free Elective Courses 13-19
TOTAL: 120

Pre-major courses to be taken during freshman year

MAT 130: Three hours count toward the general studies requirement, replacing GSR 104
BIO 201: Four hours count toward the general studies requirement, replacing GSR 230

Required pre-major courses 17-20 hours

This course will provide an overview of descriptive and experimental research methods in the sciences. Topics include research design and methodology, statistical analyses, responsible conduct of research, the use of animal and human subjects, and the critical analysis of published peer-reviewed research reports. Students will work in groups to design a research project, collect and analyze pilot data, and present the results. Development of scientific writing skills will be emphasized. Four hours of lecture per week.

This course introduces fundamental concepts of computer programming. Students learn program logic, flow charting, and problem solving through analysis, development, basic debugging and testing procedures. Topics include variables, expressions, data types, functions, decisions, loops, and arrays. Students will use the knowledge and skills gained throughout this course to develop a variety of simple programs.

This course emphasizes the meaning and application of the concepts of functions. It covers polynomial, rational, exponential, logarithmic and trigonometric functions and their graphs, trigonometric identities. Passing both MAT 125 and 126 is equivalent to passing MAT 130.

Limit processes, including the concepts of limits, continuity, differentiation, the natural logarithm and exponential functions, and integration of functions. Applications to physical problems will be discussed.

Other pre-major courses: Choose a two-semester course and laboratory sequence in one laboratory science and one additional semester (course and laboratory) in another laboratory science. (12 hours)

Note: Lab sections should be taken concurrently.

This course covers the fundamentals of biomolecules, cell physiology, respiration and photosynthesis, and genetics. In laboratory, students will develop and test hypotheses by designing their own experiments to better understand different biological concepts. Students will also learn how to use a microscope and pipettors and will write laboratory reports in the same format as professional journal articles. This is one of two courses of introductory biology for science majors. BIO107 and BIO108 can be taken in either order. BIO 107 and BIO 108 are designed for students who want to major in biology or another science, or who plan to attend dental, veterinary, or medical school after graduation. Three hours of lecture and one two-hour laboratory per week.Three hours of lecture and one two-hour laboratory per week.

This course covers the fundamentals of evolution, comparative biodiversity, human and animal anatomy and physiology, and ecology and environmental science. In laboratory, students will develop and test hypotheses by designing their own experiments to better understand different biological concepts. Students will also learn how to use computer simulation models to predict outcomes, grow and enumerate bacteria and plants, and write laboratory reports in the same format as professional journal articles. This is one of two courses of introductory biology for science majors. BIO107 and BIO108 can be taken in either order. BIO 107 and BIO 108 are designed for students who want to major in biology or another science, or who plan to attend dental, veterinary, or medical school after graduation. Three hours of lecture and one two-hour laboratory per week.

Designed for science majors, this is the first of a two-semester sequence and is designed to help students become familiar with the properties and reactions of matter. This course will also address modern applications of these concepts. Specific topics for this course include: observation of properties and changes, scientific method, unit conversions and measurements, chemical formulas, balancing equations, predicting products and yields, reactions and reaction types, the Ideal Gas Law, thermodynamics, molecular and atomic structure of matter, and orbital hybridization.

Designed for science majors, this course is the second of a two-semester sequence and is designed to help students become familiar with the properties and reactions of matter. This course will also address modern applications of these concepts. Specific topics for this course include: chemical bonding concepts, solution chemistry, colligative properties, kinetics, equilibrium, acids and bases, solubility and equilibria, entropy, free energy, electrochemistry, and nuclear chemistry.

A laboratory course to accompany CHE 107, this course enables students to develop skills appropriate to the first-year chemistry course for science majors. Experiments for this course include: observation of properties and changes, measurements, observing activities and reactions for the various types of reactions, obtaining quantitative and qualitative information regarding products, and the use of computer simulations.

A laboratory course to accompany CHE 108, this course enables students to develop skills appropriate to the first-year chemistry course for science majors. Experiments for this course include: quantifying thermodynamic changes, observing colligative properties, evaluation of chemical kinetics, evaluation of acid/base reactions via titration, and the use of computer simulations.

This introductory physics course develops a view of the universe as a clocklike mechanism where change is continuous, observers do not affect their measurements, identical experiments yield identical outcomes and the laws of physics are never violated. It uses methods of calculus to investigate topics in the kinematics and dynamics of particles and rigid bodies, phases of matter, geometrical optics, optical instruments and Einstein's theory of relativity.

This introductory physics course develops a view of the universe as a realm of uncertain possibilities, where change may be discontinuous, measuring may cause different experimental results, identical experiments yield many different outcomes and the laws of physics are violated under certain conditions. It uses methods of calculus to investigate topics in electricity and magnetism, vibrations, wave motion, quantum physics, atomic and nuclear physics, heat, ideal gas laws, thermodynamics, and quantum statistical physics.

This is the companion laboratory course to PHY151. Through a sequence of selected experiments, students will practice experiment design, report writing, use of standard instruments, data visualization, and error analysis skills.

This is the companion laboratory course to PHY152. Through a sequence of selected experiments, students will practice experiment design, report writing, use of standard instruments, data visualization, and error analysis skills.

Required mathematics courses 35-38 hours

MAT 451: EDU 648 may be substituted for MAT 451.

Applications of integration, inverse functions, and hyperbolic functions. Techniques of integration, sequences, series of numbers and functions, and Taylor series.

Vectors, partial derivatives, multiple integrals, line integrals, Green's Theorem, the Divergence Theorem, and Stokes Theorem. Applications to physical problems will be given.

A study of functional principles and proof techniques. Topics will include statements, consequence, proof, sufficient and necessary conditions, contraposition, induction, sets, relations, functions, cardinality, divisibility, prime numbers, congruence, Fermat's Theorem, counting principles, permutations, variations, combinations, binomial coefficients, graphs, planar and directed graphs, and graph coloring.

This course covers the fundamental concepts of vector spaces, linear transformations, systems of linear equations, and matrix algebra from a theoretical and a practical point of view. Results will be illustrated by mathematical and physical examples. Important algebraic (e.g., determinants and eigenvalues), geometric (e.g., orthogonality and the Spectral Theorem), and computational (e.g., Gauss elimination and matrix factorization) aspects will be studied.

This course is the first part of a two-semester sequence with MAT 314, with a focus on basic probability. It covers descriptive statistics, sample spaces and events, axioms of probability, counting techniques, conditional probability and independence, distribution of discrete and continuous random variables, joint distributions, and the central limit theorem.

This course is the second part of a two-semester course sequence with MAT 313, with a focus on applied statistics. It covers basic statistical concepts, graphical displays of data, sampling distribution models, hypothesis testing, and confidence intervals. A statistical software package is used.

Ordinary differential equations of first-order and first-degree, high order linear ordinary differential equations with constant coefficients, and properties of solutions.

A survey of Euclidean, non-Euclidean, and other geometries. The emphasis will be on formal axiomatic systems.

An axiomatic treatment of groups, rings, and fields that bridges the gap between concrete examples and abstraction of concepts to general cases.

This is a one-semester internship in which the student works for at least 60 hours in an applied mathematical or statistical setting under the supervision and guidance of the course instructor and on-site professionals in the field.

This course is the first part of a two-semester course sequence with MAT 456. This course covers a theoretical approach to calculus of functions of one and several variables. Limits, continuity, differentiability, Reimann integrability, sequences, series, and contour integration.

This course is for STM majors who are in their last year of the program. Students will produce two major products: (1) a grant proposal to a national or private agency and (2)interdisciplinary group project. In addition, students will discuss future career plans,examine contributions of different deaf scientists to science, and engage in discussions on science ethics and science literacy.

Elective mathematics courses 6 hours

Choose from:

A survey of the history of mathematics from antiquity through modern times.

A study of properties of integer numbers. Divisibility of integers, primes and greatest common divisors, congruencies, Euclidean algorithm, Euler Phi-function, quadratic reciprocity and integer solutions to basic equations, Diophantine equations, and applications to cryptography and primality testing.

This is an introductory course in cryptography. It covers classical cryptosystems, Shannon's perfect secrecy, block ciphers and the advanced encryption standard, RSA cryptosystem and factoring integers, public-key cryptography and discrete logarithms, and linear and differential cryptanalysis.

This course covers linear programming, the simplex algorithm, duality theory and sensitive analysis, network analysis, transportation, assignment, game theory, inventory theory, and queuing theory.

Numerical differentiation, integration, interpolation, approximation of data, approximation of functions, iterative methods of solving nonlinear equations, and numerical solutions of ordinary and partial differential equations.

This course covers statistical techniques with applications to the type of problems encountered in real-world situations. These topics include categorical data analysis, simple linear regression, multiple regression, and analysis of variance. A statistical software package is used.

This is an introductory course in complex analysis. The algebra of complex numbers, analytic functions, contour integration, Cauchy integral formula, theory of residues and poles, and Taylor and Laurent series.

This course is the second part of a two-semester course sequence with MAT 455. This course covers a theoretical approach to calculus of functions of one and several variables. Limits, continuity, differentiability, Reimann integrability, sequences, series, and contour integration.

Special topics in the discipline, designed primarily for seniors who are majors or minors. Students may enroll in 495 Special Topics multiple times, as long as the topics differ.

Recommended coursework 6-12 hours

One or two years of a foreign language, preferably German or French

Program Outcomes

Demonstrate competence in discussing mathematical and statistical concepts in writing and in American Sign  Language. 

 

Demonstrate an understanding of the analytical foundations of the core fields of Algebra, Calculus,  Geometry, and Statistics.

 

Demonstrate competence in the computational techniques of Calculus, Statistics, and Linear Algebra, including through the use of software.

 

Demonstrate an understanding of the fields of Mathematics and Statistics by exploring their applications, history, importance in reproducible and rigorous quantitative research, ethical decisions, and career opportunities.

 

Demonstrate an understanding of the importance of the collection, analysis, and interpretation of data and of evidence-based decision-making for questions of personal wellness choices, civic discourse within communities, and/or public policies.

 

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B.S. in Mathematics

Mohammad Obiedat

Hall Memorial Building N318

(202) 250-2370

202-651-5315

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